When a shape is rotated, it must be rotated through a point
The new position of point B is point A
The angle of rotation is given as:

The shape is a regular pentagon (with 5 sides).
The smallest angle of rotation that maps the pentagon onto itself is calculated using:

So, we have:


Let the number of rotations be n.
So, we have:

This gives

Divide both sides by 72

This means that the new position of B is 4 points away from B.
Point A is 4 points away from B, in clockwise direction
Hence, the new position of point B is point A
Read more about rotation at:
brainly.com/question/2283733